C. [this problem is worth 9 points] The following data represent political party by age from a random sample of registered Iowa voters.

	17-29	30-44	45-64	65+	Total
Republican	224	340	1075	561	2200
Democrat	184	384	773	459	1800
Total	408	724	1848	1020	4000

1. If we select one person in this sample at random, what is the probability they are in the age group 17-29?
2. If we selectthree people in this sample at random, without replacement, what is the probability they are all in the age group 17-29?
3. If we select one person in this sample at random, what is the probability they are 17-29 years old or a Republican?
4. If we select one person in this sample at random, what is the probability they are 17-29 years old and a Republican?
5. If we select one person in this sample at random, what is the probability they are 17-29 years old, if they are a Republican?
6. If we select one person in this sample at random, what is the probability they are a Republican if they are 17-29 years old?
7. Are the events "Republican" and "30-44" independent? Explain.
8. Are the events "Democrat" and "65+" independent? Explain.
9. Are the events "17-29" and "45-64" mutually exclusive? Explain.
10. Are the events "Republican" and "45-64" mutually exclusive? Explain.